Existence and uniqueness of weak and classical solutions for a fourth-order semilinear boundary value problem
Keywords:fourth order, maximum principle, plate theory, Paneitz-Branson operator.
AbstractThis paper is concerned with the problem of existence and uniqueness of weak and classical solutions for a fourth-order semilinear boundary value problem. The existence and uniqueness for weak solutions follows from standard variational methods, while similar uniqueness results for classical solutions are derived using maximum principles. doi:10.1017/S1446181119000129
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